Type the missing number in this sequence:

6, 36, 216,
, 7,776, 46,656

Answer:

(3a +4)²

have a nice day!

Answer: yes, the equation \(y = 5x +2\) is a slope-intercept form.

Step-by-step explanation:

-The equation of a slope-intercept form:

\(y = mx + b\)  (where \(m\) represents the slope, and \(b\) represents the y-intercept).

Answer:

1) 24

2) 25

Step-by-step explanation:

Given:

2a + 3b = 8

4x + 10y = 50

.

1)

\( \frac{6a + 9b}{2a + 3b} = \frac{3(2a + 3b)}{2a + 3b} = 3\)

Since the second expression is 3 times greater then the previous one, the product will also be 3 times greater:

6a + 9b = 3 × 8 = 24

.

2)

\( \frac{2x + 5y}{4x + 10y} = \frac{2x + 5y}{2(2x + 5y)} = \frac{1}{2} = 0.5\)

The second expression's value is two times smaller than the first one's, so the product will also be two times smaller:

2x + 5y = 0,5 × 50 = 25

a) The null hypothesis, H0: p1 - p2 = 0, states that there is no real change in opinion among U.S. adults from May to June. The alternative hypothesis, Ha: p1 - p2 ≠ 0, states that there is a real change in opinion among U.S. adults from May to June.

(b) Under the null hypothesis, the difference in the percentages is expected to be 0%. The estimated standard error for this difference can be calculated as sqrt((p1(1-p1)/n1)+(p2(1-p2)/n2)), where p1 and p2 are the sample proportions for May and June, respectively, and n1 and n2 are the sample sizes for May and June, respectively.

(c) The two-sample z test statistic can be calculated as (p1-p2)/SE, where p1 and p2 are the sample proportions for May and June, respectively, and SE is the estimated standard error for the difference in proportions.

(d) The p-value can be calculated as the area under the normal distribution curve to the left of the negative of the absolute value of the z test statistic plus the area under the normal distribution curve to the right of the absolute value of the z test statistic.

(e) Our conclusion depends on the significance level chosen and the p-value obtained. If the significance level is chosen to be 0.05 and the p-value obtained is less than 0.05, then we reject the null hypothesis and conclude that there is evidence for a real change in opinion among U.S. adults from May to June.

If the p-value obtained is greater than or equal to 0.05, then we do not reject the null hypothesis and conclude that there is not enough evidence to support a real change in opinion among U.S. adults from May to June.

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Using the 14c calibration on the x-axis, the approximate age of the neanderthal fossils is (C) 40,110 years old.

So, using calibration on the x-axis, the approximate age of the neanderthal fossils came out to be 40,110 years old.

Therefore, using the 14c calibration on the x-axis, the approximate age of the neanderthal fossils is (C) 40,110 years old.

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The correct question is given below:
Using the 14c calibration on the x-axis, what is the approximate age of the neanderthal fossil?

a. 5,730 years old

b. 34,380 years old

c. 40,110 years old

d. 45,840 years old

Answer:

3/8

Step-by-step explanation:

There are 8 equal slices so each slice is 1/8th of the whole pizza

1/8+1/8=2/8 he ate right away

2/8+1/8 for what he ate before going to sleep

2/8+1/8=3/8

Step-by-step explanation:

\( \sqrt{9} + \sqrt{25} - 8 \div 2 + {3}^{2} \\ = 3 + 5 - 4 + 9 = 13\)

Answer:

y = 2x + 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 6, - 3) and (x₂, y₂ ) = (0, 9)

m = \(\frac{9+3}{0+6}\) = \(\frac{12}{6}\) = 2

The line crosses the y- axis at (0, 9) ⇒ b = 9

y = 2x + 9 ← equation of line

After 1.8 years, the value equals the amount she paid for the car.

The value will be $ 22,131.10.

To solve the problem, find both the expense equation and depreciation equation.

The exponential depreciation equation will be:

\(y=25,900(1-0.082)^x\)

Where x represents time in years.

The expense equation will be: y=550 x+10,000

Where x represents the number of months that have passed

If x represents time in years in the expense equation, then it determines the yearly payment rather than the monthly payment.

Over the course of the year, Nina will have paid 550(12) or $ 6,600 in car payments.

The new yearly expense equation will be: y=6,600 x+10,000

Where x is time in years.

Use the two equations to find the point of intersection which will give the time she paid for the car and the value paid by her.

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Position vs. time graph is a graph that shows the position of an object over time. It can be a straight line or a curved line depending on the motion of the object.

What is graph ?

A graph is a mathematical structure used to represent relationships between objects. In a graph, objects are represented by vertices (or nodes) and relationships are represented by edges (or arcs). Graphs can be used to model a wide variety of real-world systems, including networks of roads, social networks, and the internet.

The position vs. time graph is a visual representation of an object's motion, where the position of the object is plotted on the y-axis and the time it took to reach that position is plotted on the x-axis. The graph helps to show the relationship between the position and time of an object in motion. The line on the graph can be either straight or curved, depending on the type of motion the object is undergoing. If the object is moving at a constant speed, the line will be straight. If the object is accelerating or decelerating, the line will be curved.

Position vs. time graph is a graph that shows the position of an object over time. It can be a straight line or a curved line depending on the motion of the object.

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Answer:

6

Step-by-step explanation:

Call the bigger number a, smaller b
a + b = 10
b + 2 = a
a + b + 2 = a + a = 2a = 12
a = 12 : 2
a = 6

Answer:

Its the second one

Step-by-step explanation

the reason why is because

<= less than- so it goes to the left and since its not less than or equal to its an open circle instead of a closed circle.

Answer:

12.57m²

(please give brainliest)

Area=πr²=3.14*4=12.56m²

For a second order differential equation t²y'' - 4ty' + 6y = 0, general solution is of the form y(t) = c₁t² + c₂t³, so another solution other than y₁(t) = t² is y₂(t) = t³.

Given solution to t²y'' - 4ty' + 6y = 0 is

y₁(t) = t²

Using the method of reduction of order, let us assume, y₂(t) = v(t)y₁(t) is a solution to t²y'' - 4ty' + 6y = 0 for suitable choice of v(t). So,

y₂ = vt²

y₂' = 2vt + t²v'

y₂'' = 2v + 2tv' + 2tv' + t²v''

y₂'' = 2v + 4tv' + t²v''

Substituting this

t²×( 2v + 4tv' + t²v'') - 4t×(2vt + t²v') + 6×(vt²) = 0

t⁴v'' = 0

v'' = 0

v' = c, c is a constant

v = ct

Therefore, y₂(t) = ct×t²

y₂ (t) = ct³

Therefore general solution will be y(t) = c₁t² + c₂t³

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Answer:

The answer is in the 4th quadrant

Step-by-step explanation:

I really hope this helped!!! have a great day. :)

1 unit left,2 units down and 90° clockwise rotation is the transformation of figure Q to make figure R.

Transformation is rearranging a graph by a given rule it could be either increment,decrement, reflection, or rotation.

Reflection is a mirror image of a graph about any axis.

It seems that figure R is the rotation of Q clockwise by 90°.

In figure Q,

The Coordinate of the bottom left point of it is (3,1) if we rotate by 90° then it will remain at (3,1).

The coordinate of the same point in figure R is (2,-1)

So,

3 + x = 2 → x = -1 (1 unit left)

1 + y = -1 → y = -2 (2 units down)

Hence "1 unit left,2 units down and 90° clockwise rotation is the transformation of figure Q to make figure R".

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Answer:

.0097

Step-by-step explanation:

Take the decimal and move it 3 (variable for any negative exponent) places to the left

Answer:

0.0097 is the answer.

Step-by-step explanation:

You start by counting from the decimal place. For negative exponents, you would count to the left. Three decimal places to the left of 9.7 is 0.0097.

Answer:

y=4.47 and x=√10

Step-by-step explanation:

180°-45°-90°=45°

√10/(sin 45°)=y/(sin 90)

y=4.47

√10/(sin 45°)=x/(sin45)

x=√10

Yes, it can be concluded at the 0.01 level of significance that the patients who took the medicine healed at a different rate than the percentages given.

After running a goodness of fit test, it can be concluded that there is a statistically significant difference in duration of a sore throat for those that took the medicine.

The p-value for this test is 0.003, which is below the 0.01 threshold for significance.

This means that we can reject the null hypothesis that there is no difference between the expected counts and the actual counts of the medicine. Thus, it can be concluded that the medicine has an effect on the duration of a sore throat.

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The data being skewed and indicating higher wait times above 7 minutes due to a busy park is the most suitable description based on the given line plot.

The best description of the shape of the data is that it is skewed and might mean that the wait times were higher than 7 minutes because the park was busy.

Here's the explanation:

From the line plot, we can observe that there are 6 dots above 6, 5 dots above 7, 3 dots above 5, and 2 dots above 8.

The distribution is not symmetric, as the data points are not evenly spread around a central value.

The fact that there are more dots above 7 and 8 suggests that the wait times were higher than these values for a significant number of rides. This skewness in the data indicates that there were instances of longer wait times.

Additionally, the presence of dots above 5 and 6 suggests that there were some rides with shorter wait times as well.

However, the higher concentration of dots above 7 and 8 indicates that the park was likely busy, leading to longer wait times.

The option stating that the data is skewed and might mean that the wait times were higher than 7 minutes because the park was busy best aligns with the information provided by the line plot.

It acknowledges the skewness of the data towards higher wait times, suggesting that the park experienced increased demand and longer queues during the fair.

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Answer:

1/10

Step-by-step explanation:

4+6+3+5+2=20

so there are 2 brown M&M's

=2/20

= 1/10

I hope this helps a little bit.

Code that will create a new section in the Lab 3 script for Exercise 3 The code that creates a new section in the Lab 3 script for Exercise 3 is given below:

low = 24;

high = 26;

weight = rand(1)*(30-20) + 20;

eval = weight >= low && weight <= high;

fprintf('The widget weighs: %.2f\n', weight);

fprintf('The weight is within acceptable limits: %d\n', eval);

The above code generates a random real number between 20 and 30 and assigns it to the variable weight. It also creates two variables low and high that represent the lower and upper limits of the acceptable weight of the widget. Then it creates a variable eval that is a logical and is set to true if the weight is within acceptable limits (i.e. it is between low and high).Finally, it displays a statement that shows the weight of the widget and whether it is within acceptable limits or not.

The output of the above code will be something like this:The widget weighs: 23.25 The weight is within acceptable limits: 0 The code returns a 0 for eval if the weight is not in tolerance and returns a 1 if the weight is within tolerance. If you run it again, it should output the right value of eval because it generates a random real number each time it is run and checks whether it is within acceptable limits or not.

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Answer:

Step-by-step explanation:

12,787

a. ^p^ represents the proportion of adults who chose chocolate pie, ^q^ represents the proportion of adults who did not choose chocolate pie, n represents the sample size, E represents the margin of error, and p represents the population proportion.

b. The value of α for a 99.99% confidence level is 0.0001.

a. ^p^ represents the sample proportion of adults who chose chocolate pie, ^q^ represents the proportion of adults who did not choose chocolate pie (1 - ^p^), n represents the sample size of 1500, E represents the margin of error of ±3 percentage points (0.03), and p represents the population proportion of adults who choose chocolate pie.

b. To find the value of α for a 99.99% confidence level, we need to subtract the confidence level from 100% to get the level of significance, which is 0.0001. This means that there is a 0.0001 probability of rejecting the null hypothesis when it is actually true.

The level of significance (α) is used to determine the critical value for the test statistic, which is then used to determine whether or not to reject the null hypothesis.

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Answer:

mean = sum of all element / number of elements

mean = (2a + 3a +3a +8a) / 4

mean = 16a/4

mean =4a

Step-by-step explanation:

New York had the larger population with 1.9 x 10⁷ people. The correct option is B.

To compare the populations of the states, we need to convert all the populations to the same unit of measurement. In this case, all the populations are given in terms of millions (10⁶).

We can see that New York's population is 1.9 x 10⁷, which means 19 million people. Georgia's population is given as 9.6 x 10⁶, which is 9.6 million people. Comparing these two values, it is evident that New York has a larger population than Georgia.

Check the populations of the other states:

Alaska: 7.1 x 10⁵ = 0.71 million people

Wyoming: 5.6 x 10⁵ = 0.56 million people

Idaho: 1.5 x 10⁶ = 1.5 million people

New York's population of 19 million is much larger than any of the other states listed, making it the state with the largest population among the options provided. The correct option is B.

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Complete question:

Based on the 2010 census, the population of Georgia was 9.6 x 10^6 people. Which state had a larger population? A. Alaska: 7.1 x 10^5 B. New York: 1.9 x 10^7 C. Wyoming: 5.6 x 10^5 D. Idaho: 1.5 x 10^6

The following financial assets that has the historically  largest standard deviation is option A. Common stock.

Common stocks, also known as equities, have historically exhibited the largest standard deviation among the listed financial assets. Standard deviation is a statistical measure of the volatility or variability of returns.

Common stocks are considered to be riskier investments compared to other financial assets due to their higher volatility. The prices of common stocks can fluctuate significantly over time, influenced by various factors such as market conditions, economic performance, company-specific news, and investor sentiment. These fluctuations result in a larger standard deviation, indicating a higher level of risk associated with common stock investments.

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The ladder reaches approximately 16.97 feet up the side of the house. Rounded to the nearest hundredth, it would be 16.97 feet.

To determine how far up the side of the house the ladder reaches, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, the ladder acts as the hypotenuse of a right triangle, with one side being the distance from the base of the ladder to the house (6 feet) and the other side being the vertical distance we want to find. Let's call the vertical distance "x."

Using the Pythagorean theorem, we have:

(6^2) + (x^2) = (18^2)

36 + x^2 = 324

x^2 = 288

Taking the square root of both sides, we get:

x ≈ √288 ≈ 16.97

Therefore, the ladder reaches approximately 16.97 feet up the side of the house. Rounded to the nearest hundredth, it would be 16.97 feet.

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An 18-foot extension ladder is placed 6 feet away from a house.  How far up the side of the house does the ladder reach? (Round to the nearest hundredth).

If Ridgewood Savings Bank charges a $27 per check overdraft protection fee. The amount she will owe the bank after July 12 is: $1,071.42.

Total obligation can be defined as the amount a person owe another person or the debt amount a borrower  is expected to payback to a lender.

Balance $1,400

July 9 check ($1,380.15)

Balance $19.85

July 10 check ($765.67)

($670 + $95.67)

Balance -$745.82 (Overdraft)

Now let find the amount she owe

Balance -$745.82

July 11 check $130

Balance -$875.82

July 12 check $87.60

Ending balance -$963.42

Overdraft fee $108

($27 ×4)

Total obligation -$1,071.42

Therefore her total obligation is $1,071.42.

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